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3134664312 = 2331319352057
BaseRepresentation
bin1011101011010111…
…0010111001111000
322002110102110001020
42322311302321320
522404433224222
61235014422440
7140452131003
oct27265627170
98073373036
103134664312
11136948876a
12735961a20
133ac574070
1421a45c53a
151352e465c
hexbad72e78

3134664312 has 64 divisors (see below), whose sum is σ = 8483371680. Its totient is φ = 959496192.

The previous prime is 3134664301. The next prime is 3134664329. The reversal of 3134664312 is 2134664313.

It is a super-2 number, since 2×31346643122 = 19652240697852866688, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34188 + ... + 86244.

Almost surely, 23134664312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3134664312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4241685840).

3134664312 is an abundant number, since it is smaller than the sum of its proper divisors (5348707368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3134664312 is a wasteful number, since it uses less digits than its factorization.

3134664312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52272 (or 52268 counting only the distinct ones).

The product of its digits is 31104, while the sum is 33.

The square root of 3134664312 is about 55988.0729441548. The cubic root of 3134664312 is about 1463.5144445189.

Subtracting from 3134664312 its reverse (2134664313), we obtain a palindrome (999999999).

The spelling of 3134664312 in words is "three billion, one hundred thirty-four million, six hundred sixty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 193 312 386 579 772 1158 1544 2316 2509 4632 5018 7527 10036 15054 20072 30108 52057 60216 104114 156171 208228 312342 416456 624684 676741 1249368 1353482 2030223 2706964 4060446 5413928 8120892 10047001 16241784 20094002 30141003 40188004 60282006 80376008 120564012 130611013 241128024 261222026 391833039 522444052 783666078 1044888104 1567332156 3134664312